2470541824 has 40 divisors (see below), whose sum is σ = 4972430628. Its totient is φ = 1226219520.

The previous prime is 2470541809. The next prime is 2470541831. The reversal of 2470541824 is 4281450742.

It can be written as a sum of positive squares in 2 ways, for example, as 2250553600 + 219988224 = 47440^2 + 14832^2 .

It is a super-2 number, since 2×2470541824² = 12207153808266493952, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 52534 + ... + 87754.

Almost surely, 2^2470541824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2470541824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2486215314).

2470541824 is an abundant number, since it is smaller than the sum of its proper divisors (2501888804).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2470541824 is an equidigital number, since it uses as much as digits as its factorization.

2470541824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35376 (or 35360 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 37.

The square root of 2470541824 is about 49704.5453052334. The cubic root of 2470541824 is about 1351.8569459882.

The spelling of 2470541824 in words is "two billion, four hundred seventy million, five hundred forty-one thousand, eight hundred twenty-four".